I haven't gotten an answer on this yet and I set up a bounty; I figured I'd link it here too in case any stats/physics people care to take a crack at it.
You got downvoted on stackexchange, which I disagree with - you may wish to point out that your argument is the flip side of the other response: if you fix the closed system requirement, then you find the source of entropy.
Link to the Question
I haven't gotten an answer on this yet and I set up a bounty; I figured I'd link it here too in case any stats/physics people care to take a crack at it.